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<div class="title">Poly1d.hpp</div>  </div>
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<a href="_poly1d_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#pragma once</span></div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="_dtype_info_8hpp.html">NumCpp/Core/DtypeInfo.hpp</a>&quot;</span></div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="_error_8hpp.html">NumCpp/Core/Error.hpp</a>&quot;</span></div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="_stl_algorithms_8hpp.html">NumCpp/Core/StlAlgorithms.hpp</a>&quot;</span></div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="_types_8hpp.html">NumCpp/Core/Types.hpp</a>&quot;</span></div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="_nd_array_8hpp.html">NumCpp/NdArray.hpp</a>&quot;</span></div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="essentially_equal_8hpp.html">NumCpp/Utils/essentiallyEqual.hpp</a>&quot;</span></div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="num2str_8hpp.html">NumCpp/Utils/num2str.hpp</a>&quot;</span></div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="_utils_2power_8hpp.html">NumCpp/Utils/power.hpp</a>&quot;</span></div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;iostream&gt;</span></div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#include &lt;type_traits&gt;</span></div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#include &lt;utility&gt;</span></div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacenc.html">nc</a></div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;{</div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    <span class="keyword">namespace </span>polynomial</div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    {</div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="comment">//================================================================================</span></div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="comment"></span>        <span class="keyword">template</span>&lt;<span class="keyword">typename</span> dtype&gt;</div><div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html">   55</a></span>&#160;        <span class="keyword">class </span><a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d</a></div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        {</div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keyword">private</span>:</div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;            std::vector&lt;dtype&gt;      coefficients_{};</div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keyword">public</span>:</div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00066"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a63ba012e9178fba33b85ba94f375a86d">   66</a></span>&#160;<span class="comment"></span>            <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a63ba012e9178fba33b85ba94f375a86d">Poly1d</a>() noexcept</div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            {</div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;                <a class="code" href="_error_8hpp.html#a36abb32368b91aed0d3133a4cfd5ae92">STATIC_ASSERT_ARITHMETIC</a>(dtype);</div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;            }</div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00079"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a33c01905d846d32e7d49dc4e7e884551">   79</a></span>&#160;<span class="comment"></span>            <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a33c01905d846d32e7d49dc4e7e884551">Poly1d</a>(<span class="keyword">const</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>&amp; inValues, <span class="keywordtype">bool</span> isRoots = <span class="keyword">false</span>)</div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;            {</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                <a class="code" href="_error_8hpp.html#a36abb32368b91aed0d3133a4cfd5ae92">STATIC_ASSERT_ARITHMETIC</a>(dtype);</div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                <span class="keywordflow">if</span> (inValues.<a class="code" href="classnc_1_1_nd_array.html#a6871de7968fa26f32d9c43167cd66131">size</a>() &gt; <a class="code" href="classnc_1_1_dtype_info.html#a2a3dc0ba2812411660219f61189d8aca">DtypeInfo&lt;uint8&gt;::max</a>())</div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                {</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                    <a class="code" href="_error_8hpp.html#af2aff1172060367b9c5398fa097fa8fd">THROW_INVALID_ARGUMENT_ERROR</a>(<span class="stringliteral">&quot;can only make a polynomial of order &quot;</span> + <a class="code" href="namespacenc_1_1utils.html#a2e3a14fbbce38b0f8710ea0d92ee2ffc">utils::num2str</a>(<a class="code" href="classnc_1_1_dtype_info.html">DtypeInfo&lt;uint8&gt;::max</a>()));</div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                }</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                <span class="keywordflow">if</span> (isRoots)</div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                {</div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                    coefficients_.push_back(1);</div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                    <span class="keywordflow">for</span> (<span class="keyword">auto</span> value : inValues)</div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                    {</div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                        <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a> coeffs = { -(value), static_cast&lt;dtype&gt;(1) };</div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                        *<span class="keyword">this</span> *= <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>(coeffs, !isRoots);</div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                    }</div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                }</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                <span class="keywordflow">else</span></div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;                {</div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;                    <span class="keywordflow">for</span> (<span class="keyword">auto</span> value : inValues)</div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;                    {</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                        coefficients_.push_back(value);</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                    }</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                }</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;            }</div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00114"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a5bffcf44260bb4c7966212c849538721">  114</a></span>&#160;<span class="comment"></span>            <span class="keywordtype">double</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a5bffcf44260bb4c7966212c849538721">area</a>(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b) <span class="keyword">const</span> noexcept</div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;            {</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                <span class="keywordflow">if</span> (a &gt; b)</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;                {</div><div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;                    <a class="code" href="namespacenc.html#a39da0502565b913855379ea1439047e1">std::swap</a>(a, b);</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;                }</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;                <span class="keyword">auto</span> polyIntegral = <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a86386d31dfc05f97ca395dbaf0b63071">integ</a>();</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                <span class="keywordflow">return</span> polyIntegral(b) - polyIntegral(a);</div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;            }</div><div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;<span class="comment"></span>            <span class="keyword">template</span>&lt;<span class="keyword">typename</span> dtypeOut&gt;</div><div class="line"><a name="l00132"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a001bd0e9f832e56c58c8ae40dc63c60f">  132</a></span>&#160;            <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtypeOut&gt;</a> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a001bd0e9f832e56c58c8ae40dc63c60f">astype</a>() const noexcept</div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;            {</div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                <span class="keyword">auto</span> newCoefficients = <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;dtypeOut&gt;</a>(1, <span class="keyword">static_cast&lt;</span><a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a><span class="keyword">&gt;</span>(coefficients_.size()));</div><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div><div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;                <span class="keyword">auto</span> <span class="keyword">function</span> = [](dtype value) noexcept -&gt; dtypeOut</div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;                {</div><div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;                    <span class="keywordflow">return</span> <span class="keyword">static_cast&lt;</span>dtypeOut<span class="keyword">&gt;</span>(value);</div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;                };</div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;                <a class="code" href="namespacenc_1_1stl__algorithms.html#a65dada83abf2bf7a4fe6bd5a7b00624e">stl_algorithms::transform</a>(coefficients_.begin(), coefficients_.end(), newCoefficients.begin(), <span class="keyword">function</span>);</div><div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;</div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                <span class="keywordflow">return</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtypeOut&gt;</a>(newCoefficients);</div><div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;            }</div><div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;</div><div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00153"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a58a632fa53f4ad61f9d692eadba8552b">  153</a></span>&#160;<span class="comment"></span>            <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a58a632fa53f4ad61f9d692eadba8552b">coefficients</a>() const noexcept</div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;            {</div><div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;                <span class="keywordflow">return</span> <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a>(coefficients_);</div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;            }</div><div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;</div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00162"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a4d43b9e6d0e7f25273a81482c26f37cb">  162</a></span>&#160;<span class="comment"></span>            <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a4d43b9e6d0e7f25273a81482c26f37cb">deriv</a>() const noexcept</div><div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;            {</div><div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;                <span class="keyword">const</span> <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a> numCoefficients = <span class="keyword">static_cast&lt;</span><a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a><span class="keyword">&gt;</span>(coefficients_.size());</div><div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;                <span class="keywordflow">if</span> (numCoefficients == 0)</div><div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;                {</div><div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;                    <span class="keywordflow">return</span> {};</div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;                }</div><div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;                <span class="keywordflow">else</span> <span class="keywordflow">if</span> (numCoefficients == 1)</div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;                {</div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;                    <span class="keywordflow">return</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>({ 0 });</div><div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;                }</div><div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;</div><div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;dtype&gt;</a> derivativeCofficients(1, numCoefficients - 1);</div><div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;</div><div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;                <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a> counter = 0;</div><div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;                <span class="keywordflow">for</span> (<a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a> i = 1; i &lt; numCoefficients; ++i)</div><div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;                {</div><div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;                    derivativeCofficients[counter++] = coefficients_[i] * i;</div><div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;                }</div><div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;</div><div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;                <span class="keywordflow">return</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>(derivativeCofficients);</div><div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;            }</div><div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;</div><div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00189"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a86386d31dfc05f97ca395dbaf0b63071">  189</a></span>&#160;<span class="comment"></span>            <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;double&gt;</a> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a86386d31dfc05f97ca395dbaf0b63071">integ</a>() const noexcept</div><div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;            {</div><div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;                <span class="keyword">const</span> <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a> numCoefficients = <span class="keyword">static_cast&lt;</span><a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a><span class="keyword">&gt;</span>(coefficients_.size());</div><div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;                <span class="keywordflow">if</span> (numCoefficients == 0)</div><div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;                {</div><div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;                    <span class="keywordflow">return</span> {};</div><div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;                }</div><div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;</div><div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;                <a class="code" href="classnc_1_1_nd_array.html">NdArray&lt;double&gt;</a> integralCofficients(1, numCoefficients + 1);</div><div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;                integralCofficients[0] = 0.0;</div><div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;</div><div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;                <span class="keywordflow">for</span> (<a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a> i = 0; i &lt; numCoefficients; ++i)</div><div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;                {</div><div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;                    integralCofficients[i + 1] = <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(coefficients_[i]) / static_cast&lt;double&gt;(i + 1);</div><div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;                }</div><div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;</div><div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;                <span class="keywordflow">return</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;double&gt;</a>(integralCofficients);</div><div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;            }</div><div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;</div><div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00215"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">  215</a></span>&#160;<span class="comment"></span>            <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a>() const noexcept</div><div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;            {</div><div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;                <span class="keywordflow">return</span> <span class="keyword">static_cast&lt;</span><a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a><span class="keyword">&gt;</span>(coefficients_.size() - 1);</div><div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;            }</div><div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;</div><div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00225"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#abd3335aec42b7856a0d83a96f7e72e89">  225</a></span>&#160;<span class="comment"></span>            <span class="keywordtype">void</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#abd3335aec42b7856a0d83a96f7e72e89">print</a>() const noexcept</div><div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;            {</div><div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;                std::cout &lt;&lt; *<span class="keyword">this</span> &lt;&lt; std::endl;</div><div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;            }</div><div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;</div><div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00237"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a5e943edcdfbacb4d7a94a11f55532efe">  237</a></span>&#160;<span class="comment"></span>            std::string <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a5e943edcdfbacb4d7a94a11f55532efe">str</a>() const noexcept</div><div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;            {</div><div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;                <span class="keyword">const</span> <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a> numCoeffients = <span class="keyword">static_cast&lt;</span><a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a><span class="keyword">&gt;</span>(coefficients_.size());</div><div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;</div><div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;                std::string repr = <span class="stringliteral">&quot;Poly1d&lt;&quot;</span>;</div><div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;                <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a> <a class="code" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a> = 0;</div><div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;                <span class="keywordflow">for</span> (<span class="keyword">auto</span>&amp; coefficient : coefficients_)</div><div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;                {</div><div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;                    <span class="keywordflow">if</span> (<a class="code" href="classnc_1_1_dtype_info.html">DtypeInfo&lt;dtype&gt;::isInteger</a>())</div><div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;                    {</div><div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;                        <span class="keywordflow">if</span> (coefficient == 0)</div><div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;                        {</div><div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;                            ++<a class="code" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a>;</div><div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;                            <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;                        }</div><div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;                    }</div><div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;                    <span class="keywordflow">else</span></div><div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;                    {</div><div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;                        <span class="keywordflow">if</span> (<a class="code" href="namespacenc_1_1utils.html#ab5d74e774cbc9596b129d7a507e58fe7">utils::essentiallyEqual</a>(coefficient, static_cast&lt;dtype&gt;(0.0)))</div><div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;                        {</div><div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;                            ++<a class="code" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a>;</div><div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;                            <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;                        }</div><div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;                    }</div><div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;</div><div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;                    repr += <a class="code" href="namespacenc_1_1utils.html#a2e3a14fbbce38b0f8710ea0d92ee2ffc">utils::num2str</a>(coefficient);</div><div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;</div><div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;                    <span class="keywordflow">if</span> (<a class="code" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a> &gt; 1)</div><div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;                    {</div><div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;                        repr += <span class="stringliteral">&quot;x^&quot;</span> + <a class="code" href="namespacenc_1_1utils.html#a2e3a14fbbce38b0f8710ea0d92ee2ffc">utils::num2str</a>(<a class="code" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a>);</div><div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;                    }</div><div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;                    <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a> == 1)</div><div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;                    {</div><div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;                        repr += <span class="stringliteral">&quot;x&quot;</span>;</div><div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;                    }</div><div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;</div><div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;                    ++<a class="code" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a>;</div><div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;</div><div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;                    <span class="keywordflow">if</span> (<a class="code" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a> &lt; numCoeffients)</div><div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;                    {</div><div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;                        repr += <span class="stringliteral">&quot; + &quot;</span>;</div><div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;                    }</div><div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;                }</div><div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;</div><div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;                <span class="keywordflow">return</span> repr + <span class="stringliteral">&quot;&gt;&quot;</span>;</div><div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;            }</div><div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;</div><div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00293"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#ac82910d648a2a3cfd2301e12907414dd">  293</a></span>&#160;<span class="comment"></span>            dtype <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#ac82910d648a2a3cfd2301e12907414dd">operator()</a>(dtype inValue) <span class="keyword">const</span> noexcept</div><div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;            {</div><div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;                dtype polyValue = 0;</div><div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;                <a class="code" href="namespacenc.html#a60efb2c7acad2ac3a9a9fcf1e93d0f49">uint8</a> <a class="code" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a> = 0;</div><div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;                <span class="keywordflow">for</span> (<span class="keyword">auto</span>&amp; coefficient : coefficients_)</div><div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;                {</div><div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;                    polyValue += coefficient * <a class="code" href="namespacenc_1_1utils.html#a716a63ef8627c73f6cc4146481fcabdf">utils::power</a>(inValue, <a class="code" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a>++);</div><div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;                }</div><div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;</div><div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;                <span class="keywordflow">return</span> polyValue;</div><div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;            }</div><div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;</div><div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00314"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a2187ce69997f60f4a73eb9e66a4d6199">  314</a></span>&#160;<span class="comment"></span>            <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a2187ce69997f60f4a73eb9e66a4d6199">operator+</a>(<span class="keyword">const</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; inOtherPoly) <span class="keyword">const</span> noexcept</div><div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;            {</div><div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;                <span class="keywordflow">return</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>(*this) += inOtherPoly;</div><div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;            }</div><div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;</div><div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00328"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a13372c13e633ffc87418d9369adcfea0">  328</a></span>&#160;<span class="comment"></span>            <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a13372c13e633ffc87418d9369adcfea0">operator+=</a>(<span class="keyword">const</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; inOtherPoly) noexcept</div><div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;            {</div><div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;                <span class="keywordflow">if</span> (this-&gt;coefficients_.size() &lt; inOtherPoly.coefficients_.size())</div><div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;                {</div><div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;                    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; coefficients_.size(); ++i)</div><div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;                    {</div><div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;                        coefficients_[i] += inOtherPoly.coefficients_[i];</div><div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;                    }</div><div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;                    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = coefficients_.size(); i &lt; inOtherPoly.coefficients_.size(); ++i)</div><div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;                    {</div><div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;                        coefficients_.push_back(inOtherPoly.coefficients_[i]);</div><div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;                    }</div><div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;                }</div><div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;                <span class="keywordflow">else</span></div><div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;                {</div><div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;                    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; inOtherPoly.coefficients_.size(); ++i)</div><div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;                    {</div><div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;                        coefficients_[i] += inOtherPoly.coefficients_[i];</div><div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;                    }</div><div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;                }</div><div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;</div><div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;                <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;            }</div><div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;</div><div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00361"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a3dedbdd1923bc2f2b41c585d50ef4f4f">  361</a></span>&#160;<span class="comment"></span>            <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a3dedbdd1923bc2f2b41c585d50ef4f4f">operator-</a>(<span class="keyword">const</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; inOtherPoly) <span class="keyword">const</span> noexcept</div><div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;            {</div><div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;                <span class="keywordflow">return</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>(*this) -= inOtherPoly;</div><div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;            }</div><div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;</div><div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00375"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a512b5c5d835b40688f6c19c2b337ec1e">  375</a></span>&#160;<span class="comment"></span>            <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a512b5c5d835b40688f6c19c2b337ec1e">operator-=</a>(<span class="keyword">const</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; inOtherPoly) noexcept</div><div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;            {</div><div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;                <span class="keywordflow">if</span> (this-&gt;coefficients_.size() &lt; inOtherPoly.coefficients_.size())</div><div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;                {</div><div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;                    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; coefficients_.size(); ++i)</div><div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;                    {</div><div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;                        coefficients_[i] -= inOtherPoly.coefficients_[i];</div><div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;                    }</div><div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;                    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = coefficients_.size(); i &lt; inOtherPoly.coefficients_.size(); ++i)</div><div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;                    {</div><div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;                        coefficients_.push_back(-inOtherPoly.coefficients_[i]);</div><div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;                    }</div><div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;                }</div><div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;                <span class="keywordflow">else</span></div><div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;                {</div><div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;                    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; inOtherPoly.coefficients_.size(); ++i)</div><div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;                    {</div><div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;                        coefficients_[i] -= inOtherPoly.coefficients_[i];</div><div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;                    }</div><div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;                }</div><div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;</div><div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;                <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;            }</div><div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;</div><div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00408"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a28aa3ab446b53a1d901cac5c0105ef59">  408</a></span>&#160;<span class="comment"></span>            <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a28aa3ab446b53a1d901cac5c0105ef59">operator*</a>(<span class="keyword">const</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; inOtherPoly) <span class="keyword">const</span> noexcept</div><div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;            {</div><div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;                <span class="keywordflow">return</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>(*this) *= inOtherPoly;</div><div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;            }</div><div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;</div><div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00422"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a98672b993e5100d6a39f36f37edc0098">  422</a></span>&#160;<span class="comment"></span>            <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a98672b993e5100d6a39f36f37edc0098">operator*=</a>(<span class="keyword">const</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; inOtherPoly) noexcept</div><div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;            {</div><div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;                <span class="keyword">const</span> <a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a> finalCoefficientsSize = <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#ab978ca2f65c7cd640309c1be86aa9141">order</a>() + inOtherPoly.order() + 1;</div><div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;                std::vector&lt;dtype&gt; coeffsA(finalCoefficientsSize, 0);</div><div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;                std::vector&lt;dtype&gt; coeffsB(finalCoefficientsSize, 0);</div><div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;                <a class="code" href="namespacenc_1_1stl__algorithms.html#afc0a193758bfb62333c4ed53ada9537d">stl_algorithms::copy</a>(coefficients_.begin(), coefficients_.end(), coeffsA.begin());</div><div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;                <a class="code" href="namespacenc_1_1stl__algorithms.html#afc0a193758bfb62333c4ed53ada9537d">stl_algorithms::copy</a>(inOtherPoly.coefficients_.cbegin(), inOtherPoly.coefficients_.cend(), coeffsB.begin());</div><div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;</div><div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;                <span class="comment">// now multiply out the coefficients</span></div><div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;                std::vector&lt;dtype&gt; finalCoefficients(finalCoefficientsSize, 0);</div><div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;                <span class="keywordflow">for</span> (<a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a> i = 0; i &lt; finalCoefficientsSize; ++i)</div><div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;                {</div><div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;                    <span class="keywordflow">for</span> (<a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a> k = 0; k &lt;= i; ++k)</div><div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;                    {</div><div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;                        finalCoefficients[i] += coeffsA[k] * coeffsB[i - k];</div><div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;                    }</div><div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;                }</div><div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;</div><div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;                this-&gt;coefficients_ = finalCoefficients;</div><div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;                <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;            }</div><div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;</div><div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00453"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#acfcba8169d451d503a336fa01a8af5ec">  453</a></span>&#160;<span class="comment"></span>            <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#acfcba8169d451d503a336fa01a8af5ec">operator^</a>(<a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a> inPower) <span class="keyword">const</span> noexcept</div><div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;            {</div><div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;                <span class="keywordflow">return</span> <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a63ba012e9178fba33b85ba94f375a86d">Poly1d</a>(*<span class="keyword">this</span>) ^= inPower;</div><div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;            }</div><div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;</div><div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00467"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a74f2aca0939b51e2c4048abc792ee0b5">  467</a></span>&#160;<span class="comment"></span>            <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html">Poly1d&lt;dtype&gt;</a>&amp; <a class="code" href="classnc_1_1polynomial_1_1_poly1d.html#a74f2aca0939b51e2c4048abc792ee0b5">operator^=</a>(<a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a> inPower) noexcept</div><div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;            {</div><div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;                <span class="keywordflow">if</span> (inPower == 0)</div><div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;                {</div><div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;                    coefficients_.clear();</div><div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;                    coefficients_.push_back(1);</div><div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;                    <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;                }</div><div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;                <span class="keywordflow">else</span> <span class="keywordflow">if</span> (inPower == 1)</div><div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;                {</div><div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;                    <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;                }</div><div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;</div><div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;                <span class="keyword">auto</span> thisPoly(*<span class="keyword">this</span>);</div><div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;                <span class="keywordflow">for</span> (<a class="code" href="namespacenc.html#aacba4d66f94f6f53637e23c5d82e20d8">uint32</a> <a class="code" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a> = 1; <a class="code" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a> &lt; inPower; ++<a class="code" href="namespacenc.html#a1f059635ecfc805979db6973dfa29008">power</a>)</div><div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;                {</div><div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;                    *<span class="keyword">this</span> *= thisPoly;</div><div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;                }</div><div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;</div><div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;                <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;            }</div><div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;</div><div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;            <span class="comment">//============================================================================</span></div><div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;            <span class="comment">// Method Description:</span></div><div class="line"><a name="l00498"></a><span class="lineno"><a class="line" href="classnc_1_1polynomial_1_1_poly1d.html#a80f939448c8b58ab286c57ab0212b785">  498</a></span>&#160;<span class="comment"></span>            <span class="keyword">friend</span> std::ostream&amp; operator&lt;&lt;(std::ostream&amp; inOStream, const Poly1d&lt;dtype&gt;&amp; inPoly) noexcept</div><div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;            {</div><div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;                inOStream &lt;&lt; inPoly.str() &lt;&lt; std::endl;</div><div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;                <span class="keywordflow">return</span> inOStream;</div><div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;            }</div><div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;        };</div><div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;    }</div><div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;}</div><div class="ttc" id="namespacenc_1_1stl__algorithms_html_a65dada83abf2bf7a4fe6bd5a7b00624e"><div class="ttname"><a href="namespacenc_1_1stl__algorithms.html#a65dada83abf2bf7a4fe6bd5a7b00624e">nc::stl_algorithms::transform</a></div><div class="ttdeci">OutputIt transform(InputIt first, InputIt last, OutputIt destination, UnaryOperation unaryFunction) noexcept</div><div class="ttdef"><b>Definition:</b> StlAlgorithms.hpp:521</div></div>
<div class="ttc" id="classnc_1_1polynomial_1_1_poly1d_html_a13372c13e633ffc87418d9369adcfea0"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a13372c13e633ffc87418d9369adcfea0">nc::polynomial::Poly1d::operator+=</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; &amp; operator+=(const Poly1d&lt; dtype &gt; &amp;inOtherPoly) noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:328</div></div>
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<div class="ttc" id="classnc_1_1polynomial_1_1_poly1d_html_a86386d31dfc05f97ca395dbaf0b63071"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a86386d31dfc05f97ca395dbaf0b63071">nc::polynomial::Poly1d::integ</a></div><div class="ttdeci">Poly1d&lt; double &gt; integ() const noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:189</div></div>
<div class="ttc" id="classnc_1_1polynomial_1_1_poly1d_html_a58a632fa53f4ad61f9d692eadba8552b"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a58a632fa53f4ad61f9d692eadba8552b">nc::polynomial::Poly1d::coefficients</a></div><div class="ttdeci">NdArray&lt; dtype &gt; coefficients() const noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:153</div></div>
<div class="ttc" id="classnc_1_1polynomial_1_1_poly1d_html_abd3335aec42b7856a0d83a96f7e72e89"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#abd3335aec42b7856a0d83a96f7e72e89">nc::polynomial::Poly1d::print</a></div><div class="ttdeci">void print() const noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:225</div></div>
<div class="ttc" id="classnc_1_1polynomial_1_1_poly1d_html_a001bd0e9f832e56c58c8ae40dc63c60f"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a001bd0e9f832e56c58c8ae40dc63c60f">nc::polynomial::Poly1d::astype</a></div><div class="ttdeci">Poly1d&lt; dtypeOut &gt; astype() const noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:132</div></div>
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<div class="ttc" id="_utils_2power_8hpp_html"><div class="ttname"><a href="_utils_2power_8hpp.html">power.hpp</a></div></div>
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<div class="ttc" id="classnc_1_1polynomial_1_1_poly1d_html_a5e943edcdfbacb4d7a94a11f55532efe"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a5e943edcdfbacb4d7a94a11f55532efe">nc::polynomial::Poly1d::str</a></div><div class="ttdeci">std::string str() const noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:237</div></div>
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<div class="ttc" id="_stl_algorithms_8hpp_html"><div class="ttname"><a href="_stl_algorithms_8hpp.html">StlAlgorithms.hpp</a></div></div>
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<div class="ttc" id="classnc_1_1polynomial_1_1_poly1d_html_a512b5c5d835b40688f6c19c2b337ec1e"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a512b5c5d835b40688f6c19c2b337ec1e">nc::polynomial::Poly1d::operator-=</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; &amp; operator-=(const Poly1d&lt; dtype &gt; &amp;inOtherPoly) noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:375</div></div>
<div class="ttc" id="namespacenc_html_a39da0502565b913855379ea1439047e1"><div class="ttname"><a href="namespacenc.html#a39da0502565b913855379ea1439047e1">nc::swap</a></div><div class="ttdeci">void swap(NdArray&lt; dtype &gt; &amp;inArray1, NdArray&lt; dtype &gt; &amp;inArray2) noexcept</div><div class="ttdef"><b>Definition:</b> swap.hpp:43</div></div>
<div class="ttc" id="classnc_1_1polynomial_1_1_poly1d_html_a74f2aca0939b51e2c4048abc792ee0b5"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a74f2aca0939b51e2c4048abc792ee0b5">nc::polynomial::Poly1d::operator^=</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; &amp; operator^=(uint32 inPower) noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:467</div></div>
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<div class="ttc" id="classnc_1_1polynomial_1_1_poly1d_html_a4d43b9e6d0e7f25273a81482c26f37cb"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a4d43b9e6d0e7f25273a81482c26f37cb">nc::polynomial::Poly1d::deriv</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; deriv() const noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:162</div></div>
<div class="ttc" id="classnc_1_1polynomial_1_1_poly1d_html_acfcba8169d451d503a336fa01a8af5ec"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#acfcba8169d451d503a336fa01a8af5ec">nc::polynomial::Poly1d::operator^</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; operator^(uint32 inPower) const noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:453</div></div>
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<div class="ttc" id="classnc_1_1polynomial_1_1_poly1d_html_a5bffcf44260bb4c7966212c849538721"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a5bffcf44260bb4c7966212c849538721">nc::polynomial::Poly1d::area</a></div><div class="ttdeci">double area(double a, double b) const noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:114</div></div>
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<div class="ttc" id="namespacenc_1_1utils_html_a716a63ef8627c73f6cc4146481fcabdf"><div class="ttname"><a href="namespacenc_1_1utils.html#a716a63ef8627c73f6cc4146481fcabdf">nc::utils::power</a></div><div class="ttdeci">dtype power(dtype inValue, uint8 inPower) noexcept</div><div class="ttdef"><b>Definition:</b> Utils/power.hpp:46</div></div>
<div class="ttc" id="classnc_1_1_nd_array_html"><div class="ttname"><a href="classnc_1_1_nd_array.html">nc::NdArray</a></div><div class="ttdoc">Holds 1D and 2D arrays, the main work horse of the NumCpp library. </div><div class="ttdef"><b>Definition:</b> NdArrayCore.hpp:66</div></div>
<div class="ttc" id="classnc_1_1polynomial_1_1_poly1d_html_a63ba012e9178fba33b85ba94f375a86d"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a63ba012e9178fba33b85ba94f375a86d">nc::polynomial::Poly1d::Poly1d</a></div><div class="ttdeci">Poly1d() noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:66</div></div>
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<div class="ttc" id="classnc_1_1polynomial_1_1_poly1d_html_a2187ce69997f60f4a73eb9e66a4d6199"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a2187ce69997f60f4a73eb9e66a4d6199">nc::polynomial::Poly1d::operator+</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; operator+(const Poly1d&lt; dtype &gt; &amp;inOtherPoly) const noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:314</div></div>
<div class="ttc" id="namespacenc_1_1utils_html_a2e3a14fbbce38b0f8710ea0d92ee2ffc"><div class="ttname"><a href="namespacenc_1_1utils.html#a2e3a14fbbce38b0f8710ea0d92ee2ffc">nc::utils::num2str</a></div><div class="ttdeci">std::string num2str(dtype inNumber) noexcept</div><div class="ttdef"><b>Definition:</b> num2str.hpp:45</div></div>
<div class="ttc" id="classnc_1_1polynomial_1_1_poly1d_html_a28aa3ab446b53a1d901cac5c0105ef59"><div class="ttname"><a href="classnc_1_1polynomial_1_1_poly1d.html#a28aa3ab446b53a1d901cac5c0105ef59">nc::polynomial::Poly1d::operator*</a></div><div class="ttdeci">Poly1d&lt; dtype &gt; operator*(const Poly1d&lt; dtype &gt; &amp;inOtherPoly) const noexcept</div><div class="ttdef"><b>Definition:</b> Poly1d.hpp:408</div></div>
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